Characterized by a central core surrounded by a number of concentric shells, the stability of the higher-bound solitary wave solutions to a three-dimensional nonlinear Schr\"odinger equation with saturating nonlinearity is investigated. A linear stability analysis of spherical harmonic modes reveals these solutions to be transversely unstable. Further, the complicated intermediate patterns observed in numerical simulations are shown to result from a degeneracy in the number of maximally unstable modes, the mode mixture depending on the realization of the destabilizing perturbation.
No takes yet. Share an insight, caveat, or question.
D. Edmundson (1997) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: